1995
DOI: 10.1190/1.1443871
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Linear inversion of gravity data for 3-D density distributions

Abstract: We have developed an improved Levenburg‐Marquart technique to rapidly invert Bouguer gravity data for a 3-D density distribution as a source of the observed field. This technique is designed to replace tedious forward modeling with an automatic solver that determines density models constrained by geologic information supplied by the user. Where such information is not available, objective models are generated. The technique estimates the density distribution within the source volume using a least‐squares inver… Show more

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Cited by 76 publications
(36 citation statements)
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“…Such an interpretation must be considered as nonunique for two reasons: First, there is a fundamental nonuniqueness in potential field inversion, and second, gravity data are generally measured only on discrete points and are subject to experimental errors. For the first problem, the challenge is to develop spectral approach [Xia and Sprowl, 1992 [Bear et al, 1995;Burkhard and Jackson, 1976]. There are other approaches which account for concepts of information theory and which are able to determine geometric and density parameters simultaneously [Tarantola, 1987;Strykowski, 1995].…”
mentioning
confidence: 99%
“…Such an interpretation must be considered as nonunique for two reasons: First, there is a fundamental nonuniqueness in potential field inversion, and second, gravity data are generally measured only on discrete points and are subject to experimental errors. For the first problem, the challenge is to develop spectral approach [Xia and Sprowl, 1992 [Bear et al, 1995;Burkhard and Jackson, 1976]. There are other approaches which account for concepts of information theory and which are able to determine geometric and density parameters simultaneously [Tarantola, 1987;Strykowski, 1995].…”
mentioning
confidence: 99%
“…Liu (2013) and Wang et al (2014) extrapolated the Tikhonov regularization to the density-constrained 3D inversion of gravity data. Bear et al (1995) used an improved Levenburg-Marquart algorithm in order to invert Bouguer gravity data to obtain the 3D density distribution. Li andOldenburg et al (1996, 1998) applied the depth weighting function to surface magnetic or gravity data inversion and recovered the 3D distribution of the density contrast.…”
Section: Introductionmentioning
confidence: 99%
“…An inversion technique is usually employed to obtain a plausible subsurface model whose theoretical response (or calculated data) fits the observed data. Therefore, the inversion of gravity data constitutes an important step in the quantitative interpretation of gravity anomalies [6,7].…”
Section: Introductionmentioning
confidence: 99%